Dianne's teacher has a chunk of dry ice for the class to look at. Dry ice is a kind of frozen gas—it is very cold. The teacher w
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Coefficient of volume expansion is 8.1 ×10⁻⁴ C⁻¹.
<u>Explanation:</u>
The volume expansion of a liquid is given by ΔV,
ΔV = α V₀ ΔT
ΔT = change in temperature = 48.5° C
α = coefficient of volume expansion =?
V₀ = initial volume = 2.35 m³
We need to find α , by plugin the given values in the equation and by rearranging the equation as,
= 8.1 ×10⁻⁴ C⁻¹.
Answer:
a) A =0.021525m
b)
c)
d)
Explanation:
1) Notation
A= Amplitude
v= velocity
= wavelength
k= wave number
= angular frequency
f= frequency
2) Part a and b
The equation of movement for a transverse sinusoidal wave is gyben by (1)
(1)
At x=0 ,t=0 we have that:
The velocity would be the derivate of the position, so taking the derivate of (1) respect to t we got (2)
(2)
And replacing the conditions at x=0, t=0 we got
Now we can find the angular frequency with equation (3)
(3)
Replacing the values obtained we got:
From equation (1) we have:
(a)
(b)
So from condition (b) we have:
(c)
If we divide condition (c) by condition (a) we got:
If we solve for we got:
And now since we have we can find A from equation (a)
So then Solving for A we got
3) Part c
From equation (2) we can see that the maximum speed occurs when , so on this case we have:
4) Part d
On this case we need an equation like (1), and we have everything except the wave number, and we can obtain this from the following expression:
(4)
And solving for k from equation (4) we got
And with the k number we have everythin in order to create the wave function, given by: